Edwin Hills was a Foundation Fellow of the Australian Academy of Science (FAA) and served as Chairman of the Australian Academy of Science National Committee on Hydrology (1959 - 1968) and the Australian National Academy of Science Committee for Quaternary Research (1970 - 1978).

Fellow of the Australian Academy of Science (FAA) 1954;
President of the Australian Academy of Science 1970 - 1974, Secretary of the Australian Academy of Science (Biological Sciences) 1958, delivered 1975 Burnet lecture.